SOLUTION: plz show me step by step answer to equation.. -2/3x-1/2=1.what is x=

Algebra ->  Equations -> SOLUTION: plz show me step by step answer to equation.. -2/3x-1/2=1.what is x=      Log On


   



Question 519259: plz show me step by step answer to equation..
-2/3x-1/2=1.what is x=

Found 2 solutions by Edwin McCravy, stanbon:
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
Does this:

              -2/3x-1/2=1

mean this?:

1.     -2%2F3x - 1%2F2 = 1    

or does it mean this?: 

2.     -2%2F%283x%29 - 1%2F2 = 1

If it's the first way, like this:

                   -2%2F3x - 1%2F2 = 1

then clear of fractions first by multiplying through
by the LCD of 6

               6·-2%2F3x - 6·1%2F2 = 6·1
 
                    -4x - 3 = 6

                        -4x = 9

                       %28-4x%29%2F%28-4%29 = 9%2F%28-4%29

                          x = -9%2F4

-------------------------------

If it's the second way, like this:

                   -2%2F%283x%29 - 1%2F2 = 1

then clear of fractions first by multiplying through
by the LCD of 6x

             6x·-2%2F%283x%29 - 6x·1%2F2 = 6x·1
       
                    -4 - 3x = 6x

                        -9x = 4

                       %28-9x%29%2F%28-9%29 = 4%2F%28-9%29

                          x = -4%2F9
Edwin

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
-2/3x-1/2=1.what is x=
-----------------
Add 1/2 to both sides to get:
(-2/3)x = (3/2)
---
Multiply both sides by (-3/2) to gt:
x = (-3/2)(3/2)
---
x = -9/4
=============
Cheers,
Stan H.